SOLUTION: The accompanying table shows the percentages of residents in a large community when classified according to gender and presence of a particular allergy. ---------Allergy ------Pr

Question 545779: The accompanying table shows the percentages of residents in a large community when classified according to gender and presence of a particular allergy.
---------Allergy
------Present-----Absent
Male----15----------36
Female--40----------39
Suppose that the selection of a person is considered a trial and the presence of the allergy is considered a success. For each case, identify the numerical value of p and find the required probability.
Two males and two females are selected at random. What is the probability that none has the allergy?
This problem is going to due soon. Please help me solve this problem ASAP. Thank you so much for your effort.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The accompanying table shows the percentages of residents in a large community when classified according to gender and presence of a particular allergy.
---------Allergy
------Present-----Absent-----Total
Male----15----------36-------51
Female--40----------39-------79
Total---55----------75-------130
Suppose that the selection of a person is considered a trial and the presence of the allergy is considered a success. For each case, identify the numerical value of p and find the required probability.
Two males and two females are selected at random. What is the probability that none has the allergy?
P(2 males absent) = 15C2/51C2 = 0.0824
P(2 females absent) = 40C2/79C2 = 0.2532
----
P(2males AND 2females absent) = 0.0824*0.26532 = 0.0209
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Cheers,
Stan H.
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